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Finding the Fourth Proportional to 4,674.30, 7,029.68 and 4,200.45

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Solution

The fourth proportional to 4,674.30, 7,029.68 and 4,200.45 is: 6,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.30 : 7,029.68 = 4,200.45 : x
  2. Step 2: Convert to fraction form
    4,674.30/7,029.68 = 4,200.45/x
  3. Step 3: Cross multiply
    4,674.30x = 7,029.68 × 4,200.45
  4. Step 4: Simplify right side
    4,674.30x = 29,527,798.35
  5. Step 5: Solve for x
    x = 29,527,798.35/4,674.30
  6. Step 6: Final answer
    x = 6,317.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.